Find the equation of a line which passes through the point `(2,3,4)` and which has equal intercepts on the axes.

Explanation

To find the equation of a line that passes through the point \( (2, 3, 4) \) and has equal intercepts on the axes, we can follow these steps:

### Step 1: Understand the concept of equal intercepts
If a line has equal intercepts on the axes, it means that the x-intercept, y-intercept, and z-intercept are all equal. Let's denote this common intercept as \( a \). Therefore, we have:
- x-intercept = \( a \)
- y-intercept = \( a \)
- z-intercept = \( a \)

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